# subset

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Related to subset: Proper subset

## subset

a set that is part of a larger set
Not to be confused with:
subtext – underlying or implicit meaning, as of a literary work: What is the subtext of the story?
subtype – a subordinate type; a special type included in a more general type
Abused, Confused, & Misused Words by Mary Embree Copyright © 2007, 2013 by Mary Embree

## sub·set

(sŭb′sĕt′)
n.
A set contained within a set.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

## subset

(ˈsʌbˌsɛt)
n
1. (Mathematics) maths
a. a set the members of which are all members of some given class: A is a subset of B is usually written A⊆B
b. proper subset one that is strictly contained within a larger class and excludes some of its members. Symbol: A⊂B
2. a set within a larger set
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

## sub•set

(ˈsʌbˌsɛt)

n.
1. a set that is a part of a larger set.
2. Math. a set consisting of elements of a given set that can be the same as the given set or smaller.
[1900–05]
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.

## sub·set

(sŭb′sĕt′)
A set whose members are all contained in another set. The set of positive integers, for example, is a subset of the set of integers.
The American Heritage® Student Science Dictionary, Second Edition. Copyright © 2014 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 subset - a set whose members are members of another set; a set contained within another setset - (mathematics) an abstract collection of numbers or symbols; "the set of prime numbers is infinite"
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
Translations
podmnožina
delmængde
osajoukko
delmängd

## subset

[ˈsʌbˌset] N
Collins Spanish Dictionary - Complete and Unabridged 8th Edition 2005 © William Collins Sons & Co. Ltd. 1971, 1988 © HarperCollins Publishers 1992, 1993, 1996, 1997, 2000, 2003, 2005

## subset

[ˈsʌbsɛt] n
Collins English/French Electronic Resource. © HarperCollins Publishers 2005

## subset

n (Math) → Teilmenge f
Collins German Dictionary – Complete and Unabridged 7th Edition 2005. © William Collins Sons & Co. Ltd. 1980 © HarperCollins Publishers 1991, 1997, 1999, 2004, 2005, 2007

## subset

[ˈsʌbˌsɛt] n (Math) →
Collins Italian Dictionary 1st Edition © HarperCollins Publishers 1995
References in periodicals archive ?
Let CC (X) ={A [subset.bar] X : A is a non-empty compact convex subset of X}, WCC (X) ={A [subset.bar] X : A is a non-empty weakly compact, convex subset of X} and BCC (X) ={A [subset.bar] X : A is a non-empty bounded, closed, convex subset of X}: Then (CC (X); h) ; (WCC (X); h) and (BCC (X); h) are known as the hyperspaces over the underlying space (X; ||*||).
A subset X of E is called a [GAMMA]-convex subset of (E, D; [GAMMA]) relative to some D' [subset] D if, for any N [member of] <D'>, we have [[GAMMA].sub.N] [subset] X, that is, [co.sub.[GAMMA]]D' [subset] X.
The typical transmission antenna selection scheme proceeds by exhaustive search, selecting the best possible subset (combination) of the full set of antennas [7].
The presumption will not apply if the taxpayer "can identify a subset of elements of dual function software that only enables a taxpayer to interact with third parties or allows third parties to initiate functions or review data (third party subset)" (Regs.
The food and beverages (non-alcoholic) set carrying a weight of nearly 24% in the CPI basket led the monthly fall with a price slump of 1.36%, which was slightly offset by rising prices of the housing, water, electricity, gas and other fuels subset (with a weight of over 26%) at 0.03%.
For a subset A of topological space X, Int(A), Cl(A), [Cl.sub.[alpha]](A) and [Int.sub.[alpha]](A) denote the interior, closure, [alpha]-closure and [alpha]-interior of A respectively and [G.sub.[alpha]] is the [alpha]-open set for topology [[tau].sub.[alpha]] on X.
The presumption will not apply if the taxpayer "can identify a subset of elements of dual function computer software that only enables a taxpayer to interact with third parties or to allow third parties to initiate functions or review data (third party subset)" (REG-153656-03, preamble).
Our investigations relate the Hausdorff measure of a subset of the Cantor space to the Hausdorff measure of its closure.
Lellis Thivagar [8], introduced the new notion of neutrosophic nano topology, which consist of upper, lower approximation and boundary region of a subset of a universal set using an equivalence class on it.
In Theorem 14, we shall show that for a subset F of [C.sub.[phi]] if there exists a closed operator A in H such that T [subset] A for all T [member of] F, then F has a maximal element, and furthermore, if there exists a closed operator B in H such that [([T.sup.-1]).sup.*] [subset] B for all T [member of] F, then F have a maximal element and a minimal element.
Since mR = [[summation].sub.g[member of]A](M) for some subset A of S,

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